Offset curves have diverse engineering applications, spurring extensive research on various offset techniques. This article is intended to fill an important gap in the literature. In a recent paper on offset curve approximation, the authors suggested a new approach based on approximating the offset circle instead of the offset curve itself. To demonstrate the effectiveness of this approach, they compared it extensively with previous methods, conducting qualitative as well as quantitative comparisons employing various contemporary offset approximation methods for freeform curves in the plane. They measured the efficiency of the offset approximation in terms of the number of control points generated while making the approximations within a prescribed tolerance.